Become an Expert & Find the Distance between the Points (2.7, 5.1) and (3, 4.7).

Find the Distance between the Points (2.7, 5.1) and (3, 4.7).

Finding the distance between two points is a fundamental concept in mathematics. In this article, I’ll show you how to find the distance between the points (2.7, 5.1) and (3, 4.7). By using a simple formula, we can calculate this distance accurately.

To find the distance between two points on a coordinate plane, we can apply the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In our case, we have a right-angled triangle formed by connecting the given points with a straight line segment. The horizontal difference between these points is 0.3 units (3 – 2.7), and the vertical difference is -0.4 units (4.7 – 5.1). We can use these differences as our side lengths in applying the Pythagorean theorem.

By substituting these values into the formula and simplifying it, we can determine that the distance between these two points is approximately 0.5 units.

Stay tuned as I walk you through step-by-step instructions on how to calculate this distance precisely and provide further insights on applying this knowledge to various real-life scenarios.

The first step is to subtract the x-coordinates of the two points and square the result. In this case, we have (3 – 2.7)^2 = 0.09. Next, we subtract the y-coordinates and square that result as well: (4.7 – 5.1)^2 = 0.16.

Once we have these squared differences, we add them together: 0.09 + 0.16 = 0.25.

Finally, to obtain the distance between the two points, we take the square root of this sum: √(0.25) ≈ 0.5.

Therefore, after calculating using the summing-the-squares-of-differences method, we determine that the distance between (2.7, 5.1) and (3, 4.7) is approximately 0.5 units.

This technique is not only useful for finding distances in mathematics but also has applications in various fields like physics and computer science where measuring distances accurately plays a significant role.

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Calculating the Distance Between Two Points

Let’s dive into the fascinating world of geometry as we explore how to find the distance between two points. In this case, we will be focusing on finding the distance between the points (2.7, 5.1) and (3, 4.7). By using a simple formula, we can determine this distance with ease.

To calculate the distance between these two points, we can make use of the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of its two legs. In our scenario, these “legs” are represented by the horizontal and vertical distances between our two points.

Firstly, let’s determine the horizontal distance (also known as Δx) between our points. By subtracting the x-coordinate of one point from another (3 – 2.7), we find that Δx equals 0.3 units.

Next, let’s calculate the vertical distance (Δy) by subtracting one y-coordinate from another (4.7 – 5.1). This gives us Δy as -0.4 units.

Now that we have both Δx and Δy values, we can apply them to our formula:

distance = √(Δx² + Δy²)

Plugging in our values:

distance = √((0.3)² + (-0.4)²)

Simplifying further:

distance = √(0.09 + 0.16)

distance = √(0.25)

Finally:

distance ≈ 0.5 units

Therefore, based on our calculations using the Pythagorean theorem formula for finding distances in a Cartesian plane, it appears that there is approximately a 0.5 unit distance between the points (2.7 ,5 .1) and (3, 4.7).